Step-by-step explanation:
Step 1: Find the x-intercepts
To find the x-ints, you need to set y equal to 0
[tex]5(0) - 6x - 10 = 0[/tex]
[tex]-6x - 10 + 10 = 0 + 10[/tex]
[tex]-6x = 10[/tex]
[tex]-6x / -6 = 10 / -6[/tex]
[tex]x = -5/3[/tex]
Step 2: Find the y-intercepts
To find the y-ints, you need to set x equal to 0
[tex]5y - 6(0)-10=0[/tex]
[tex]5y - 10 + 10 = 0 + 10[/tex]
[tex]5y / 5 = 10 / 5[/tex]
[tex]y=2[/tex]
Answer: The x-int is (-5/3, 0) and the y-int is (0, 2)
